Details

sample29.0ms

Algorithm

intervals

Results

15.0ms

265×

body

valid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	8
1	39	8
2	47	8
3	49	8
4	49	8

prune3.0ms

Filtered

1 candidates to 0 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 16.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
6.2b	(/ (* y b) t)
6.4b	(/ (* y z) t)
10.2b	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

61×	`*-un-lft-identity`
26×	`times-frac`
24×	`distribute-lft-out`
19×	`add-sqr-sqrt` `add-cube-cbrt`
16×	`add-exp-log` `add-cbrt-cube`
11×	`associate-/r*`
9×	`add-log-exp`
6×	`associate-/l*`
5×	`cbrt-undiv` `flip3-+` `div-exp` `flip-+`
4×	`pow1` `frac-add` `associate-/r/`
3×	`frac-2neg` `clear-num` `sum-log` `div-inv`
2×	`prod-exp` `cbrt-unprod` `associate-/l/`
1×	`+-commutative` `associate-+l+`

Counts

4 → 106

Calls

4 calls:

7.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y b) t)
5.0ms	(/ (* y z) t)
12.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

series173.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(+ (+ a 1.0) (/ (* y b) t))
21.0ms	(/ (* y b) t)
17.0ms	(/ (* y z) t)
109.0ms	(/ (+ x (/ (* y z) t)) (+ (+ a 1.0) (/ (* y b) t)))

simplify54.0ms

Algorithm

egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	469	909
1	2102	841
2	5001	841

prune306.0ms

Filtered

118 candidates to 78 candidates (66.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	105	13	118
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	106	13	119

Merged error: 9.4b

Counts

119 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ a 1.0) (/ (* y b) t))
6.2b	(/ (* y b) t)
6.5b	(* (* y z) (/ 1 t))
10.2b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

48×	`*-un-lft-identity`
33×	`add-exp-log`
27×	`times-frac`
23×	`add-sqr-sqrt` `add-cube-cbrt` `add-cbrt-cube`
15×	`distribute-lft-out`
13×	`associate-r` `prod-exp`
9×	`pow1` `add-log-exp`
8×	`associate-/r*`
7×	`div-exp` `cbrt-unprod`
5×	`cbrt-undiv` `flip3-+` `flip-+`
4×	`frac-add` `associate-/r/` `associate-/l*`
3×	`pow-prod-down` `sum-log` `div-inv`
2×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `associate-+l+` `associate-r/` `associate-l` `un-div-inv` `-commutative`

Counts

4 → 117

Calls

4 calls:

7.0ms	(+ (+ a 1.0) (/ (* y b) t))
4.0ms	(/ (* y b) t)
8.0ms	(* (* y z) (/ 1 t))
12.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(+ (+ a 1.0) (/ (* y b) t))
21.0ms	(/ (* y b) t)
18.0ms	(* (* y z) (/ 1 t))
95.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (/ (* y b) t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (58.0ms)

Iter	Nodes	Cost
0	607	997
1	2965	888
2	5002	868

prune261.0ms

Filtered

129 candidates to 81 candidates (62.8%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	2	10	12
Picked	0	1	1
Done	0	0	0
Total	129	13	142

Merged error: 9.4b

Counts

142 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
3.3b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
6.5b	(* (* y z) (/ 1 t))
10.2b	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

51×	`add-sqr-sqrt`
49×	`add-exp-log`
46×	`times-frac`
35×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
32×	`add-cbrt-cube`
20×	`prod-exp`
14×	`cbrt-prod` `cbrt-unprod`
12×	`div-exp`
11×	`pow1`
10×	`cbrt-undiv`
8×	`associate-l` `associate-/r/`
6×	`frac-add` `unswap-sqr`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `pow-prod-down` `div-inv` `add-log-exp`
3×	`frac-times` `associate-l/` `associate-/r` `associate-/l*`
2×	`rec-exp` `1-exp` `*-commutative` `associate-/l/`
1×	`frac-2neg` `pow1/3` `clear-num` `un-div-inv`

Counts

4 → 145

Calls

4 calls:

1.0ms	(cbrt t)
14.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
7.0ms	(* (* y z) (/ 1 t))
9.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series353.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(cbrt t)
47.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
17.0ms	(* (* y z) (/ 1 t))
123.0ms	(/ (+ x (* (* y z) (/ 1 t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify104.0ms

Algorithm

egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 2 (89.0ms)

Iter	Nodes	Cost
0	915	1628
1	4598	1393
2	5001	1337

prune434.0ms

Filtered

157 candidates to 109 candidates (69.4%)

Pruning

16 alts after pruning (14 fresh and 2 done)

	Pruned	Kept	Total
New	154	3	157
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	154	16	170

Merged error: 8.7b

Counts

170 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt t)
3.3b	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
6.3b	(* y (/ z t))
10.2b	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

57×	`add-sqr-sqrt`
47×	`times-frac`
36×	`add-cube-cbrt` `*-un-lft-identity`
35×	`associate-r`
32×	`add-exp-log`
25×	`add-cbrt-cube`
14×	`cbrt-prod`
10×	`associate-l` `prod-exp` `cbrt-unprod`
9×	`cbrt-undiv` `div-exp`
8×	`pow1` `associate-/r/` `unswap-sqr`
6×	`frac-add`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `div-inv` `add-log-exp`
3×	`frac-times` `associate-l/` `associate-/r` `associate-/l*`
2×	`pow-prod-down` `*-commutative` `associate-/l/`
1×	`frac-2neg` `pow1/3` `clear-num`

Counts

4 → 139

Calls

4 calls:

1.0ms	(cbrt t)
14.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
6.0ms	(* y (/ z t))
8.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

series359.0ms

Counts

4 → 12

Calls

4 calls:

172.0ms	(cbrt t)
49.0ms	(* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))
16.0ms	(* y (/ z t))
122.0ms	(/ (+ x (* y (/ z t))) (+ (+ a 1.0) (* (/ y (* (cbrt t) (cbrt t))) (/ b (cbrt t)))))

simplify109.0ms

Algorithm

egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 2 (95.0ms)

Iter	Nodes	Cost
0	835	1528
1	4335	1333
2	5003	1292

prune423.0ms

Filtered

151 candidates to 109 candidates (72.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	147	4	151
Fresh	2	11	13
Picked	1	0	1
Done	1	1	2
Total	151	16	167

Merged error: 8.6b

Counts

167 → 16

regimes530.0ms

Accuracy

54.1% (2.8b remaining)

Error of 12.8b against oracle of 10.0b and baseline of 16.1b

bsearch131.0ms

Steps

Iters	Range		Point
8	2.023618337201336e+50	1.0010919172501716e+54	4.2953749856058607e+52
10	-7.665813417097548e+77	-1.218226967287788e+68	-6.351224324641651e+71

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	59
1	50	59

end0.0ms

sample704.0ms

Algorithm

intervals

Results

422.0ms

8270×

body

valid